Recent content by lants
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Determining when a function is an element of L^2 (0,1)
someone already responded pointing out it was wrong in an actually helpful way, and I already responded back, so move along now- lants
- Post #5
- Forum: Calculus and Beyond Homework Help
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Determining when a function is an element of L^2 (0,1)
Ok thanks, obvious mistake- lants
- Post #3
- Forum: Calculus and Beyond Homework Help
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Determining when a function is an element of L^2 (0,1)
Homework Statement Determine for what k f(x)=xk is an element of L2 (0,1) vector space k ∈ ℝ Homework EquationsThe Attempt at a Solution \int_{0}^{1} x^{2k} dx = \frac{1-0^{2k+1}}{1+2k} = \sum_{n=0}^{\infty}{(-2k)^{n}} (for k > -½) This sum should converge for \lim_{n \to +\infty}...- lants
- Thread
- Element Function
- Replies: 4
- Forum: Calculus and Beyond Homework Help
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Free particle wave function behavior
Here is the problem, and how Psi(x,0), Psi(x,t), and Phi(k) are constructed Now I have found parts A-C fine, with \Psi(x,0) having a normalization constant of \sqrt{\frac{a}{2\pi}} \\ \phi(k) = \frac{2a}{k^2+a^2}\sqrt{\frac{a}{2\pi}} For the last part, I understand how for small a Psi has...- lants
- Post #4
- Forum: Introductory Physics Homework Help
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Free particle wave function behavior
Yeah I can do that in a few hours. I'm not sure how to use latex so I'll have to look that up since I don't see a way to graphically insert symbols. In the meantime, this is the text in the book the problem refers to. It's from an older edition on my phone which doesn't have the practice...- lants
- Post #3
- Forum: Introductory Physics Homework Help
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Free particle wave function behavior
Homework Statement Griffiths Intro Quantum Mechanics free particle question. Normalize wave function, find Phi(k), Psi(x,t), and comment on its behavior for small and large a. The wave function given is Ae-a|x|Homework EquationsThe Attempt at a Solution I found the correct Phi(k), but for the...- lants
- Thread
- Behavior Free particle Function Particle Wave Wave function
- Replies: 5
- Forum: Introductory Physics Homework Help
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Graduate Trouble setting up to prove unique factorization
Wow I'm quitting now thanks- lants
- Post #4
- Forum: Linear and Abstract Algebra
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Graduate Trouble setting up to prove unique factorization
Is this considered a textbook style question? Sorry, how can I move it? I just saw number theory and posted- lants
- Post #2
- Forum: Linear and Abstract Algebra
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Graduate Trouble setting up to prove unique factorization
This lemma the book states, I can't make sense of it. Lemma: If a,b\in Z and b > 0, there exist q,r \in Z such that a = qb + r with 0 \leq r < b. Proof: Consider the set of all integers of the form a-xb with x \in Z. This set includes positive elements. Let r = a - qb be the least...- lants
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- Factorization
- Replies: 3
- Forum: Linear and Abstract Algebra
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Schools Graduating in summer or fall, what are my options for grad school?
How did you go about finding industrial lab research? Where did you look to find open positions?- lants
- Post #5
- Forum: STEM Academic Advising
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Schools Graduating in summer or fall, what are my options for grad school?
Thanks I am in the US, but considering going out of country for graduate school. Were you able to find research even after receiving your BA? Was it at the same university you attended or a different one? I am worried research positions would be filled by undergrad students only. Also, I...- lants
- Post #3
- Forum: STEM Academic Advising
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Schools Graduating in summer or fall, what are my options for grad school?
I switched majors after my third year to physics. As a result, I have an unordinary schedule. I will be graduating either in summer of 2015 or fall of 2015. I haven't taken the GREs yet, and I am not planning on taking them this coming fall since I am doubling up on physics courses and don't...- lants
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- Fall Grad Grad school School Summer
- Replies: 6
- Forum: STEM Academic Advising